10054772 has 48 divisors (see below), whose sum is σ = 22616832. Its totient is φ = 3801600.

The previous prime is 10054763. The next prime is 10054777. The reversal of 10054772 is 27745001.

10054772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7772 + ... + 8972.

It is an arithmetic number, because the mean of its divisors is an integer number (471184).

Almost surely, 2^10054772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308416).

10054772 is an abundant number, since it is smaller than the sum of its proper divisors (12562060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10054772 is a wasteful number, since it uses less digits than its factorization.

10054772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 10054772 is about 3170.9260477028. The cubic root of 10054772 is about 215.8360953651.

Adding to 10054772 its reverse (27745001), we get a palindrome (37799773).

It can be divided in two parts, 100 and 54772, that added together give a cube (54872 = 38³).

The spelling of 10054772 in words is "ten million, fifty-four thousand, seven hundred seventy-two".